Course detail
Basics of Electrotechnics
FSI-REN Acad. year: 2021/2022 Summer semester
Ohm´s law, resistivity and resistance, Kirchhoff´ laws, ideal voltage and current sources, methods for analysis of linear DC circuits (sequential simplification, equivalent replacement of voltage source and current source, superposition principle, Thevenin´s theorem, method of loop currents and nodal voltages – with explanation of their unsuitability for manual solution (without software algorithms), transfiguration star – delta, definition of an actual and true power, definition of an average and RMS value, repeating and fixation of geometrical interpretation of differentiation, indefinite and definite integration, ideal inductor, ideal capacitor, their reactances, RC and RL transient effects, passive linear AC circuits, power matching, linear inertial and non-inertial two-port – typical practical applications, real inductor (coil) and real capacitor, serial and parallel resonance, basic knowledge about symmetrical three-phase network, definitions and consequences of basic values in electro-magnetism.
Language of instruction
Czech
Number of ECTS credits
4
Supervisor
Learning outcomes of the course unit
An ability to design or analyze linear DC and AC electric circuits.
Prerequisites
Mathematic knowledge on secondary school level, basics of differential and integral calculus.
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline. Teaching is supplemented by exercises.
Assesment methods and criteria linked to learning outcomes
Evaluation:
1st semester test: 10points
2nd semester test: 20points
Final accreditation test: 70points
Aims
Basic knowledge of solution of linear DC and AC circuits using various methods, understanding of principles and consequences regarding inductance and capacitance behavior, understanding RC and RL transient effects, serial and parallel resonance understanding, basic theory of linear two-ports understanding, basic orientation in principles and values of electro-magnetism.
Specification of controlled education, way of implementation and compensation for absences
Attendance at the practical training is obligatory.
The study programmes with the given course
Programme B-MET-P: Mechatronics, Bachelor's, compulsory
Type of course unit
Lecture
26 hours, optionally
Teacher / Lecturer
Syllabus
1. Ohm´ s law, conductor resistance, resistivity, resistance temperature dependence, parallel and series resistors, Kirchhoff´s laws, V-A characteristics and internal resistance of an ideal voltage or current source, real voltage source, unloaded and loaded resistive divider.
2. Method of sequential simplification, principle of superposition, Thevenin´s theorem.
3. Method of loop currents and node voltages. Transfiguration star – delta. Improving the geometrical interpretation of the mathematical operations: differentiation, indefinite and definite integration. Average value definition. Instantaneous and true (average) power, typical examples.
4. Ideal inductor, basic equation, consequences. RL circuit behavior – exponential transient effects at the DC supplying. Harmonic supplying of an ideal inductor, reactance.
5. Ideal capacitor, analogical explanation like at the ideal inductor incl. transients and harmonic supplying (reactance).
6. Passive AC linear circuits – principle and advantages of using of complex numbers, operations with complex numbers, implementation of the complex number to the previously defined reactances. Susceptance, impedance and admittance. Intuitive understanding of the Fourier transform. Phasor diagrams.
7. Power matching in DC circuits. Instantaneous and true power in AC circuits (harmonic supplying). Reactive and apparent power. Power factor. Power matching in AC circuits.
8. Linear/non-linear two-ports. Voltage transfer definition – module and phase frequency characteristics. Linear distortion of signals. nonlinear distortion of signals in non-linear two-ports.
9. Typical passive linear two-ports – integration RC circuit – module and phase frequency characteristics, differential equation in the time domain, voltage step response, theoretical and practical consequences. Analogical information about the derivative RC circuit. Resistive divider with an output capacitor, compensation of this capacitance.
10. Input and output impedance of a linear two-port. Input and output impedance of RC integration and derivative circuit. Wien bridge, shunted T-network. Real coil – tg delta, quality factor. Model with a series or parallel dissipative resistor.
11. Real capacitor – the same consequences like for the real coil. Series and parallel resonant circuit.
12. Basic values of the electro-magnetism, their interpretation and mutual relations. Energy of the magnetic field.
13. Continuation the electro-magnetism (coil and other applications), simple analysis of an electromagnet. Basic knowledge about a three-phase system.
Laboratory exercise
26 hours, compulsory
Teacher / Lecturer
Syllabus
1. Methods for solving DC circuits.
2. Ideal inductor and capacitor.
3. Transient effects in RC and RL circuits.
4. AC circuits, reactance, susceptance, impedance, admittance.
5. Linear two-ports, frequency characteristics.
6. Electro-magnetism.